### An integral equation technique for solving mixed boundary value problems

M. L. Pasha (1977)

Applicationes Mathematicae

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M. L. Pasha (1977)

Applicationes Mathematicae

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Gabriele Bonanno, Elisabetta Tornatore (2010)

Annales Polonici Mathematici

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The existence of infinitely many solutions for a mixed boundary value problem is established. The approach is based on variational methods.

Salim Meddahi, Virginia Selgas (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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We study in this paper the electromagnetic field generated in a conductor by an alternating current density. The resulting interface problem (see Bossavit (1993)) between the metal and the dielectric medium is treated by a mixed–FEM and BEM coupling method. We prove that our BEM-FEM formulation is well posed and that it leads to a convergent Galerkin method.

C. Johnson (1976)

Publications mathématiques et informatique de Rennes

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Bayon, Roman, Lygeros, Nik, Sereni, Jean-Sébastien (2005)

Applied Mathematics E-Notes [electronic only]

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Martin Vohralík (2006)

ESAIM: Mathematical Modelling and Numerical Analysis

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We consider the lowest-order Raviart–Thomas mixed finite element method for second-order elliptic problems on simplicial meshes in two and three space dimensions. This method produces saddle-point problems for scalar and flux unknowns. We show how to easily and locally eliminate the flux unknowns, which implies the equivalence between this method and a particular multi-point finite volume scheme, without any approximate numerical integration. The matrix of the final linear system is...

Guo Chun Wen (1998)

Annales Polonici Mathematici

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This paper deals with an application of complex analysis to second order equations of mixed type. We mainly discuss the discontinuous Poincaré boundary value problem for a second order linear equation of mixed (elliptic-hyperbolic) type, i.e. the generalized Lavrent’ev-Bitsadze equation with weak conditions, using the methods of complex analysis. We first give a representation of solutions for the above boundary value problem, and then give solvability conditions via the Fredholm theorem...

A. Azzam (1981)

Annales Polonici Mathematici

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Balachandran, K., Anguraj, A. (1992)

Journal of Applied Mathematics and Stochastic Analysis

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